Question

Find the area of the triangle. Round your answer to the nearest tenth. A 58 yd 54° a. 1,360.8 yd² B 58 yd b. 1,682 yd² с c. 2,721.5 yd² d. 2,315.1 yd²​

Answer 1

The formula for the area of a triangle is 1/2 * base * height * sin(angle between them).

Using the given information, we can find the height of the triangle:

height = 58 * sin(54) ≈ 45.4

Now we can find the area of the triangle:

area = 1/2 * 58 * 45.4 ≈ 1317.4 ≈ 1,317.4

Rounded to the nearest tenth, the area of the triangle is 1,317.4 yd².

Therefore, the answer is A) 1,360.8 yd².